The breaking strength of a fiber is required to be at least 150 psi. Past experience has

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The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated that the standard deviation of breaking strength is σ = 3 psi.

A random sample of four specimens is tested, and the results are y1 = 145, y2 = 153, y3 = 150, and y4, = 147.

(a) State the hypotheses that you think should be tested in this experiment.

(b) Test these hypotheses using a = 0.05. What are your conclusions?

(c) Find the P-value for the test in part (b).

(d) Construct a 95 percent confidence interval on the mean breaking strength.

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